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quester [9]
3 years ago
15

Which statement regarding the diagram are true? Check all that apply.

Mathematics
1 answer:
vitfil [10]3 years ago
8 0
Can you please provide the diagram?
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Look at the image. (calculus)
mash [69]
<h3>Answer: Choice H)  2</h3>

=============================================

Explanation:

Recall that the pythagorean trig identity is \sin^2 x + \cos^2x = 1

If we were to isolate sine, then,

\sin^2 x + \cos^2x = 1\\\\\sin^2 x = 1-\cos^2x\\\\\sin x = \sqrt{1-\cos^2x}\\\\

We don't have to worry about the plus minus because sine is positive when 0 < x < pi/2.

Through similar calculations, \cos x = \sqrt{1-\sin^2x}\\\\

Cosine is also positive in this quadrant.

-------------

So,

\frac{\sqrt{1-\cos^2x}}{\sin x}+\frac{\sqrt{1-\sin^2x}}{\cos x}\\\\\frac{\sin x}{\sin x}+\frac{\cos x}{\cos x}\\\\1+1\\\\2

Therefore,

\frac{\sqrt{1-\cos^2x}}{\sin x}+\frac{\sqrt{1-\sin^2x}}{\cos x}=2

is an identity as long as 0 < x < pi/2

5 0
2 years ago
Read 2 more answers
Find the volume of a cube with side length of 7 in.
anastassius [24]

Answer: 343 in³

Explanation: In this problem, we're asked to find the volume of a cube.

It's important to understand that a cube is a type of rectangular prism and the formula for the volume of a rectangular prism is shown below.

<em>Volume = length × width × height</em>

In a cube however, the length, width, and height are all the same. So we can use the formula side × side × side instead.

So the formula for the volume of a cube is side × side × side or s³.

So to find the volume of the given cube, since each side has a length of 7 inches, we can plug this information into the formula to get (7 in.)³ or (7 in.)(7 in.)(7 in).

7 x 7 is 49 and 49 x 7 is 343.

So we have 343 in³.

So the volume of the given cube is 343 in³.

8 0
3 years ago
Darnell's car used 8 gallons of gasoline to travel 340 miles. After a mechanic worked on the car, it used 7 gallons of gasoline
krek1111 [17]
8*4=32
7*4=28

340÷32=10.625
350÷28=12.5

12.5-10.625= 1.875
3 0
3 years ago
Classify the triangle by its angles.
dedylja [7]

Answer:

29°: Acute 90°: Right 61°: Acute

Step-by-step explanation:

If an angle is less than 90 degrees, it is acute. If it is greater than 90 degrees, it is obtuse. If it is exactly 90 degrees, it is right.

7 0
3 years ago
Read 2 more answers
Help Plzzz i cant find the answer
Kryger [21]
To solve this, you need to know slope-intercept form;  
y=mx+b  
Where mx is the slope and b is the y-intercept form.  
Now, looking at the values you have been provided, you can just plug them into the formula.  
y= \frac{2}{3}x -2  

6 0
3 years ago
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